Games and Puzzles with GeoGebra

Diego Lieban, Sep 6, 2017

Playing and developing logic games. Initially, some games will be used to grasp basic rules and geometric properties like symmetry for instance. Then the students will be introduced to some Boolean logical features in order to develop their own games. Finally, going deep in math using some impossible puzzles to encourage students for argumentation processes.

Table of Contents

  1. Games
    1. GeoGemblo
    2. Lights Out Game - with target patterns
    3. Ajedrez
    4. Four-by-Four NIM
    5. Mastermind
    6. pentago
    7. Play HEX!
    8. Memory 60 cards
    9. Coins in a row
    10. Pan Queso
    11. Spaceship Racing Game
    12. Concentration Game Template
  2. Puzzles
    1. Getting some surprises with Renert School.
    2. Could you fit it?
    3. GeoGebra Pentominoes
    4. Deci-Blocks
    5. Square Puzzle
    6. Solve Rubik's Cube (solution guide inside)
    7. Arthur's puzzle
    8. Dissections
    9. Tetrominos
    10. Panel "Los Mutilados"
    11. Brazil_Flag
    12. Play first, conjecture then!
    13. 5-Piece Puzzle
    14. 8-puzzle & 24-puzzle
    15. Truchet 3x3
    16. Splitting into equal shapes
    17. Pythagorean Theorem Proof Puzzle # 12
    18. dissecting a cube into 4 equal parts
    19. Octagon to Square Dissection
    20. Geometric Patterns - Isis project
    21. Could you fit it?
    22. Area Blocks (5 Figures)
    23. Lig-Lig
    24. 64 geometric puzzles (a competitor of the tangram)
  3. Challenges
    1. Flip Flop
    2. Chinese Match Puzzles 2 (7 puzzles)
    3. Chessboard Puzzle
    4. Desafio tabuleiro 6x6
    5. Desafio das caixas
    6. Jogo das Reflexões e Rotações
    7. Hexagonal Puzzle
    8. Desafio dos poliminós
    9. Four color challenge
    10. Painting circles
    11. Adivinhação com bichinhos(II)
    12. Can you fit the four pieces into the square? Why?
    13. 15 puzzle trick
    14. Buildings II - logic game
    15. Garden problem
    16. Arranjo de flores
    17. Tetravex
    18. Trading Places
    19. Jogo do tear
    20. Quebra-cabeça - BLOG
    21. Mel_na_colmeia
    22. Jogo Triângulos Amigos
    23. A RAPOSA, O GANSO E O FEIJÃO - OBMEP
    24. Portal da OBMEP - O feitiço do dragão
    25. Hexágonos coloridos (QC OBMEP)
    26. Mini-Sudoku
    27. Rubik's Race - English
  4. Activities
    1. What is behind? (1)
    2. What is behind? (2)
    3. Copy of The Horse Illusion
    4. Solution of a sliding-block puzzle
    5. Jogo das Sequências
    6. Baravelle Dodecahedron
    7. Dice
  5. Ideas to develop
    1. Blokus
    2. Blokus Trigon
    3. Inversé
    4. Rush hour
    5. Quarto
    6. Abalone
    7. Pentago
    8. Pentago Multiplayer
    9. Triovision
    10. Logifaces
    11. Rubiks' Race
  6. Students' Productions
    1. Greek_Flag
    2. Lebanon_Flag
    3. Lebanon_Flag 2
    4. Nigeria_Flag
    5. Nigeria_Flag 2
    6. Nigeria_Flag 3
    7. India_Flag J
    8. India_Flag J 2
    9. India_Flag S
    10. India_Flag S 2
    11. India_Flag S 3
    12. Slovakia_Flag
    13. Slovakia_Flag 2
    14. Slovakia_Flag 3
    15. Tanzania_Flag
    16. Tanzania_Flag 2
    17. Tanzania_Flag 3
    18. Indian_Flag J 3
    19. Tanzania_Flag 4
  7. Tessellation
    1. Elleni's Tessellation
    2. Fatima`s Tessellation
    3. Jibola's Tessellation
    4. Sam`s Tessellation
    5. Aydin (rainbow triangle)
    6. Fatima`s tile
    7. Jibola`s Mandala tile
    8. Seiraj Art
    9. Multiplying tiles
    10. Playing with symmetry
    11. Mirrors
    12. Joavan`s Mosaic
    13. triangle
    14. crazy reflected trangle
    15. Fatimah's mandala
    16. Mosaic
  8. References
    1. References

1.

Games

  • 1. GeoGemblo
  • 2. Lights Out Game - with target patterns
  • 3. Ajedrez
  • 4. Four-by-Four NIM
  • 5. Mastermind
  • 6. pentago
  • 7. Play HEX!
  • 8. Memory 60 cards
  • 9. Coins in a row
  • 10. Pan Queso
  • 11. Spaceship Racing Game
  • 12. Concentration Game Template

1.1.

GeoGemblo

Este juego es una adaptación libre del juego de tablero Gemblo.
GeoGemblo
– Diego Lieban

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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2.

Puzzles

  • 1. Getting some surprises with Renert School.
  • 2. Could you fit it?
  • 3. GeoGebra Pentominoes
  • 4. Deci-Blocks
  • 5. Square Puzzle
  • 6. Solve Rubik's Cube (solution guide inside)
  • 7. Arthur's puzzle
  • 8. Dissections
  • 9. Tetrominos
  • 10. Panel "Los Mutilados"
  • 11. Brazil_Flag
  • 12. Play first, conjecture then!
  • 13. 5-Piece Puzzle
  • 14. 8-puzzle & 24-puzzle
  • 15. Truchet 3x3
  • 16. Splitting into equal shapes
  • 17. Pythagorean Theorem Proof Puzzle # 12
  • 18. dissecting a cube into 4 equal parts
  • 19. Octagon to Square Dissection
  • 20. Geometric Patterns - Isis project
  • 21. Could you fit it?
  • 22. Area Blocks (5 Figures)
  • 23. Lig-Lig
  • 24. 64 geometric puzzles (a competitor of the tangram)

2.1.

Getting some surprises with Renert School.

Getting some surprises with Renert School.
– Diego Lieban

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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2.17.

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2.18.

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2.19.

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2.20.

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2.21.

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2.22.

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2.23.

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2.24.

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3.

Challenges

  • 1. Flip Flop
  • 2. Chinese Match Puzzles 2 (7 puzzles)
  • 3. Chessboard Puzzle
  • 4. Desafio tabuleiro 6x6
  • 5. Desafio das caixas
  • 6. Jogo das Reflexões e Rotações
  • 7. Hexagonal Puzzle
  • 8. Desafio dos poliminós
  • 9. Four color challenge
  • 10. Painting circles
  • 11. Adivinhação com bichinhos(II)
  • 12. Can you fit the four pieces into the square? Why?
  • 13. 15 puzzle trick
  • 14. Buildings II - logic game
  • 15. Garden problem
  • 16. Arranjo de flores
  • 17. Tetravex
  • 18. Trading Places
  • 19. Jogo do tear
  • 20. Quebra-cabeça - BLOG
  • 21. Mel_na_colmeia
  • 22. Jogo Triângulos Amigos
  • 23. A RAPOSA, O GANSO E O FEIJÃO - OBMEP
  • 24. Portal da OBMEP - O feitiço do dragão
  • 25. Hexágonos coloridos (QC OBMEP)
  • 26. Mini-Sudoku
  • 27. Rubik's Race - English

3.1.

Flip Flop

This is a reflection puzzle. [br][br]The left sandal is reflected across a line drawn between two points in the grid to make a right sandal. [br][br]Can you move A and B to find the line of reflection?[br][br]See if you're correct by pressing the Check button.
More GeoGebra at [url]mathhombre.blogspot.com[/url]
– John Golden

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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3.15.

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3.16.

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3.17.

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3.18.

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3.19.

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3.20.

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3.21.

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3.22.

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3.23.

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3.24.

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3.25.

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3.26.

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3.27.

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4.

Activities

  • 1. What is behind? (1)
  • 2. What is behind? (2)
  • 3. Copy of The Horse Illusion
  • 4. Solution of a sliding-block puzzle
  • 5. Jogo das Sequências
  • 6. Baravelle Dodecahedron
  • 7. Dice

4.1.

What is behind? (1)

Move the point E, explore and discover it by yourself.
– Diego Lieban

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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5.

Ideas to develop

  • 1. Blokus
  • 2. Blokus Trigon
  • 3. Inversé
  • 4. Rush hour
  • 5. Quarto
  • 6. Abalone
  • 7. Pentago
  • 8. Pentago Multiplayer
  • 9. Triovision
  • 10. Logifaces
  • 11. Rubiks' Race

5.1.

Blokus

– Diego Lieban

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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5.11.

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6.

Students' Productions

The materials available here were produced by the Renert School's students inspired by "Los Mutilados" panel, in Chapter 2 of this book.

  • 1. Greek_Flag
  • 2. Lebanon_Flag
  • 3. Lebanon_Flag 2
  • 4. Nigeria_Flag
  • 5. Nigeria_Flag 2
  • 6. Nigeria_Flag 3
  • 7. India_Flag J
  • 8. India_Flag J 2
  • 9. India_Flag S
  • 10. India_Flag S 2
  • 11. India_Flag S 3
  • 12. Slovakia_Flag
  • 13. Slovakia_Flag 2
  • 14. Slovakia_Flag 3
  • 15. Tanzania_Flag
  • 16. Tanzania_Flag 2
  • 17. Tanzania_Flag 3
  • 18. Indian_Flag J 3
  • 19. Tanzania_Flag 4

6.1.

Greek_Flag

– Diego Lieban

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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6.10.

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6.11.

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6.12.

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6.13.

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6.14.

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6.15.

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6.16.

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6.17.

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6.18.

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6.19.

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7.

Tessellation

The tessellation artworks exhibited here are based on [url]http://afaithfulattempt.blogspot.ca[/url]. Squares, vectors and translation features were used to multiply the original tile. Students produced their own pattern using geometric elements to explore symmetry properties further.

  • 1. Elleni's Tessellation
  • 2. Fatima`s Tessellation
  • 3. Jibola's Tessellation
  • 4. Sam`s Tessellation
  • 5. Aydin (rainbow triangle)
  • 6. Fatima`s tile
  • 7. Jibola`s Mandala tile
  • 8. Seiraj Art
  • 9. Multiplying tiles
  • 10. Playing with symmetry
  • 11. Mirrors
  • 12. Joavan`s Mosaic
  • 13. triangle
  • 14. crazy reflected trangle
  • 15. Fatimah's mandala
  • 16. Mosaic

7.1.

Elleni's Tessellation

– Diego Lieban

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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7.11.

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7.12.

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7.13.

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7.14.

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7.15.

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7.16.

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8.

References

http://ogeogebra.com.br/site/

  • 1. References

8.1.

References

[url=http://ogeogebra.com.br/site/]http://ogeogebra.com.br/site/[/url]
– Diego Lieban

Information